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Can 2 raise to the power something be equal to 0? If yes then at what value?

Note by Prabhav Bansal
1 year, 4 months ago

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Can we say 0.0000000000000000000000000000000000000000000001 equal to zero. Prabhav Bansal · 1 year, 4 months ago

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@Prabhav Bansal This would only approach 1. Any negative power would be less than 1.

So technically, \( 2^{-\infty} = 0\). But then again, \(-\infty\) isn't a number. Vishnu Bhagyanath · 1 year, 4 months ago

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@Vishnu Bhagyanath But still if we say that 2^-100000000000 it is zero. Prabhav Bansal · 1 year, 4 months ago

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@Prabhav Bansal No, it's still not absolute zero. Vishnu Bhagyanath · 1 year, 4 months ago

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@Vishnu Bhagyanath So, finally we conclude that anything raise to the power any integer is not zero. Prabhav Bansal · 1 year, 4 months ago

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@Prabhav Bansal 0 raised to the power of any positive real is 0.

You need to qualify what "anything" refers to. Calvin Lin Staff · 1 year, 4 months ago

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No, that's the law of logarithm. Kenneth Gravamen · 1 year, 4 months ago

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No. Micah Wood · 1 year, 4 months ago

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No. Because 0 is not a number. Randy Strang · 1 year, 4 months ago

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@Randy Strang

Because 0 is not a number.

Are you sure? xP

I'm guessing you mean infinity? Siddhartha Srivastava · 1 year, 4 months ago

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